Discuss if there is any relationship between the radius and the diameter of a circle.
Relationship: The diameter of a circle is twice the length of the radius. The radius is half the length of the diameter.
Formulas: Diameter = 2 × Radius Radius = Diameter ÷ 2
Definitions: The radius extends from the center to the edge. The diameter extends from edge to edge through the center.
Explanation
The chapter guides learners to discover the relationship between radius and diameter through hands-on activity with circular paper.
Solution Steps
State the relationship: the diameter is twice the length of the radius.
State the inverse relationship: the radius is half the length of the diameter.
Write the formulas: Diameter = 2 × Radius and Radius = Diameter ÷ 2.
Define the radius as extending from the center to the edge.
Define the diameter as extending from edge to edge through the center.